Pith Number

pith:MB5QQ5DK

pith:2011:MB5QQ5DKFB5XLAI2643PFEYFY6

not attested not anchored not stored refs pending

The Calabi-Yau equation on 4-manifolds over 2-tori

Anna Fino, Luigi Vezzoni, Simon Salamon, Yanyan Li

arxiv:1103.3995 v1 · 2011-03-21 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB5QQ5DKFB5XLAI2643PFEYFY6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:10:37.679507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607b08746a287b75811af736f29305c7bfb47f693c9a00018dd8c630d4eafdcd

Aliases

arxiv: 1103.3995 · arxiv_version: 1103.3995v1 · doi: 10.48550/arxiv.1103.3995 · pith_short_12: MB5QQ5DKFB5X · pith_short_16: MB5QQ5DKFB5XLAI2 · pith_short_8: MB5QQ5DK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MB5QQ5DKFB5XLAI2643PFEYFY6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 607b08746a287b75811af736f29305c7bfb47f693c9a00018dd8c630d4eafdcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0587e3d32a0b84f12e87de561955bad1aac52bdb5b8df115efa4f31fa0b7739f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-21T13:04:17Z",
    "title_canon_sha256": "82a4ff3498ca9d0f5e35015c1c3ded2280f8171824e4baac99085e393e963ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3995",
    "kind": "arxiv",
    "version": 1
  }
}